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11553516102076 = 22132371493100127
BaseRepresentation
bin1010100000100000001100…
…1110010010000110111100
31111220111122101212001110121
42220020003032102012330
53003243100110231301
640323340110344324
72301466620341134
oct250100316220674
944814571761417
1011553516102076
113754900704a43
1213671951bb0a4
1365a6518c8300
142bd29c079ac4
151508006c03a1
hexa82033921bc

11553516102076 has 72 divisors (see below), whose sum is σ = 22636204617600. Its totient is φ = 5153451054336.

The previous prime is 11553516102013. The next prime is 11553516102077. The reversal of 11553516102076 is 67020161535511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553516102077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2176725 + ... + 5276851.

It is an arithmetic number, because the mean of its divisors is an integer number (314391730800).

Almost surely, 211553516102076 is an apocalyptic number.

It is an amenable number.

11553516102076 is a deficient number, since it is larger than the sum of its proper divisors (11082688515524).

11553516102076 is a wasteful number, since it uses less digits than its factorization.

11553516102076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100343 (or 3100328 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 43.

Adding to 11553516102076 its reverse (67020161535511), we get a palindrome (78573677637587).

The spelling of 11553516102076 in words is "eleven trillion, five hundred fifty-three billion, five hundred sixteen million, one hundred two thousand, seventy-six".

Divisors: 1 2 4 13 26 37 52 74 148 149 169 298 338 481 596 676 962 1924 1937 3874 5513 6253 7748 11026 12506 22052 25012 25181 50362 71669 100724 143338 286676 931697 1863394 3100127 3726788 6200254 12400508 40301651 80603302 114704699 161206604 229409398 458818796 461918923 523921463 923837846 1047842926 1491161087 1847675692 2095685852 2982322174 5964644348 6004945999 12009891998 17091000151 19385094131 24019783996 34182000302 38770188262 68364000604 77540376524 78064297987 156128595974 222183001963 312257191948 444366003926 888732007852 2888379025519 5776758051038 11553516102076